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Finding the Third Proportional to 233,656 and 342,176

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Solution

The third proportional to 233,656 and 342,176 is: 501,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,656 : 342,176 = 342,176 : x
  2. Step 2: Convert to fraction form
    233,656/342,176 = 342,176/x
  3. Step 3: Cross multiply
    233,656x = 342,176 × 342,176
  4. Step 4: Simplify right side
    233,656x = 117,084,414,976
  5. Step 5: Solve for x
    x = 117,084,414,976/233,656
  6. Step 6: Final answer
    x = 501,097.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.